The PSU has dual 12v rails. I would read those specs as 36A per rail, but they don't actually specify the combined limit.
I also can't find any detailed reviews on the supply.
The Huntkey website shows a quad rail design instead:
http://dealer.huntkey.com/en/product/p-15-10.html
A supply with at least 42A on combined the 12V rails should be ok for this system.
As long as this supply is reasonable quality it should be ok.